Department of Computer Science
The Graduate Center
City University of New York
365 Fifth Avenue
New York, NY 10016
USA
e-mail: gabortamaherman at yahoo.com
Current Information
Books in Print:
Geometry of Digital Spaces, Birkhäuser Basel, 1998
Discrete Tomography: Foundations, Algorithms, and Applications, Birkhäuser Basel, 1999
3D Imaging in Medicine, 2nd Edition, CRC Press, 2000
Advances in Discrete Tomography and Its Applications, Birkhäuser Basel, 2007
Fundamentals of Computerized Tomography: Image Reconstruction from Projections, 2nd Edition, Springer, 2009
Computational Methods for Three-Dimensional Microscopy Reconstruction, Birkhäuser Basel, 2014
Conferences (since 2014):
IWCIA 2014, 16th International Workshop on Combinatorial Image Analysis, May 28-30, 2014, Brno, Czech Republic (Invited Speaker)
29th Summer Conference on Topology and its Applications, July 23-26, 2014, New York, New York, USA (Semi-Plenary Speaker)
Fifth Annual Minisymposium on Computational Methods in Three-Dimensional Microscopy Reconstruction, August 7, 2014, New York, New York, USA (Organizer)
Sixth Annual Minisymposium on Computational Methods in Three-Dimensional Microscopy Reconstruction, August 5, 2015, New York, New York, USA (Organizer)
100 Years of the Radon Transform, March 27-31, 2017, Linz, Austria (Plenary Speaker)
Available Software:
SNARK14: A Programming System for the Reconstruction of 2D Images from 1D Projections
Current Editorial Positions:
Advisory Board, Sensing and Imaging
Editorial Board, Computerized Medical Imaging and Graphics
Scientific Affiliations (current):
Adjunct Professor, Department of Radiology, NYU Grossman School of Medicine
Faculty Member, Institute for Macromolecular Assemblies
Scientific Affiliation (previous):
Head, Discrete Imaging and Graphics Group
Personal:
Married to Marilyn Kirsch, an artist
The drowned man returns to the shore guided by a little fish
(Copyright 2004, Marilyn Kirsch)
Brief Curriculum Vitae
Education:
University of London, B.Sc.(Mathematics), 1963
University of London, M.Sc. (Mathematics), 1964
University of California at Berkeley, M.S. (Electrical Engineering), 1966
University of London, Ph.D. (Mathematics), 1968
Faculty Appointments:
1966-67: Lecturer in Computer Science, Brighton College of Technology, England
1967-69: Instructor, IBM (UK) Ltd.
1969-70: Assistant Professor, Department of Computer Science, SUNY at Buffalo
1970-74: Associate Professor, Department of Computer Science, SUNY at Buffalo
1974-81: Professor, Department of Computer Science, SUNY at Buffalo
1981-00: Professor, Department of Radiology, University of Pennsylvania, Philadelphia
2000-01: Professor, Department of Computer and Information Sciences, Temple University, Philadelphia
2001-17: Distinguished Professor, Department of Computer Science, The Graduate Center, CUNY, New York
2017- : Professor Emeritus, Ph.D. Computer Science Program, The Graduate Center, CUNY, New York
2020- : Adjunct Professor, Department of Radiology, NYU Grossman School of Medicine, New York
Honors:
1988: Erskine Fellow – University of Canterbury, New Zealand
1989: Honorary doctorate – Linköping University, Sweden
1989: Honorary member – American Society of Neuro-Imaging
1991: Fellow – Institute of Electrical and Electronics Engineers
1992: Editor-in-Chief, IEEE Transactions on Medical Imaging
1993: Fellow – British Computer Society
1996: Fellow – American Institute for Medical and Biological Engineering
1998: Honorary doctorate – József Attila University, Szeged, Hungary
2000: Honorary doctorate – University of Haifa, Israel
2001: Hewlett Packard Visiting Research Professor – Mathematical Sciences Research Institute, Berkeley, California
Patent:
Agar, U., Bhachech, M., Herman, G.: Determining inverse functions of output devices having limited bit depth, U.S. Patent Number 7483171, 2009
Articles that have been cited in the literature 100 or more times (as of November 12, 2020):
Gordon, R., Bender, R., Herman, G.T.: Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography, Journal of Theoretical Biology 29:471-482, 1970
Gordon, R., Herman, G.T.: Reconstruction of pictures from their projections, Communications of the Association for Computing Machinery 14:759-768, 1971
Herman, G.T., Lent, A., Rowland, S.W.: ART: Mathematics and applications (a report on the mathematical foundations and on the applicability to real data of the algebraic reconstruction techniques), Journal of Theoretical Biology 42:1-32, 1973
Greenleaf, J.F., Johnson, S.A., Lee, S.L., Wood, E.H., Herman, G.T.: Algebraic reconstruction of spatial distributions of acoustic absorption within tissue from their two-dimensional acoustic projections, International Symposium on Acoustical Holography and Imaging 5:591-603, 1974
Gordon, R., Herman, G.T.: 3-dimensional reconstruction from projections: A review of algorithms, International Review of Cytology 38, Bourne, G.H. (ed.), Academic Press, 111-151, 1974
Herman, G.T.: A relaxation method for reconstructing objects from noisy x-rays, Mathematical Programming 8:1-19, 1975
Gordon, R., Herman, G.T., Johnson, S.A.: Image reconstruction from projections, Scientific American 233(4):56-68, 1975
Herman, G.T., Lent, A.: Iterative reconstruction algorithms, Computers in Biology and Medicine 6:273-294, 1976
Herman, G.T., Lakshminarayanan, A.V., Naparstek, A.: Convolution reconstruction techniques for divergent beams, Computers in Biology and Medicine 6:259-271, 1976
Herman, G.T., Liu, H.K.: Display of three-dimensional information in computed tomography, Journal of Computer Assisted Tomography 1:155-160, 1977
Herman, G.T., Naparstek, A.: Fast image reconstruction based on a Radon inversion formula appropriate for rapidly collected data, SIAM Journal on Applied Mathematics 33:511-533, 1977
Herman, G.T., Lent, A., Lutz, P.H.: Relaxation methods for image reconstruction, Communications of the Association for Computing Machinery 21:152-158, 1978
Herman, G.T., Liu, H.K.: Dynamic boundary surface detection, Computer Graphics and Image Processing 7:130-138, 1978
Herman, G.T.: Correction for beam hardening in computed tomography, Physics in Medicine and Biology 24:81-106, 1979
Herman, G.T., Liu, H.K.: Three-dimensional display of human organs from computed tomograms, Computer Graphics and Image Processing 9:1-21, 1979
Artzy, E., Frieder, G., Herman, G.T.: The theory, design, implementation and evaluation of a three-dimensional surface detection algorithm, Computer Graphics and Image Processing 15:1-24, 1981
Herman, G.T., Udupa, J.K.: Display of three-dimensional discrete surfaces, Proceedings of the Society of Photo-Optical Instrumentation Engineers 283:90-97, 1981
Eggermont, P.P.B., Herman, G.T., Lent, A.: Iterative algorithms for large partitioned linear systems, with applications to image reconstruction, Linear Algebra and Its Applications 40:37-67, 1981
Udupa, J.K., Srihari, S.N., Herman, G.T.: Boundary detection in multidimensions, IEEE Transactions on Pattern Analysis and Machine Intelligence 4:41-50, 1982
Hemmy, D.C., David, D.J., Herman, G.T.: Three-dimensional reconstruction of craniofacial deformity using computed tomography, Neurosurgery 13:534-541, 1983
Herman, G.T., Udupa, J.K.: Display of 3-D digital images: Computational foundations and medical applications, IEEE Computer Graphics and Applications 3(5):39-46, 1983
Herman, G.T., Webster, D.: A topological proof of a surface tracking algorithm, Computer Vision, Graphics, and Image Processing 23:162-177, 1983
Chen, L.S., Herman, G.T., Reynolds, R.A., Udupa, J.K.: Surface shading in the cuberille environment, IEEE Computer Graphics and Applications 5(12):33-43, 1985 (Erratum appeared in 6(2):67-69, 1986)
Raichlen, J.S., Trivedi, S.S., Herman, G.T., St. John Sutton, M.G., Reichek, N.: Dynamic three-dimensional reconstruction of the left ventricle from two-dimensional echocardiograms, Journal of the American College of Cardiology 8:364-370, 1986
Levitan, E., Herman, G.T.: A maximum a posteriori probability expectation maximization algorithm for image reconstruction in emission tomography, IEEE Transactions on Medical Imaging MI-6:185-192, 1987
Edholm, P.R., Herman, G.T.: Linograms in image reconstruction from projections, IEEE Transactions on Medical Imaging 6:301-307, 1987
Censor, Y., Herman, G.T.: On some optimization techniques in image reconstruction from projections, Applied Numerical Mathematics 3:365-391, 1987
Herman, G.T., Odhner, D.: Performance evaluation of an iterative image reconstruction algorithm for positron emission tomography, IEEE Transactions on Medical Imaging 10:336-346, 1991
Gur, R.C., Mozley, P.D., Resnick, S.M., Gottlieb, G.E., Kohn, M., Zimmerman, R., Herman, G., Atlas, S., Grossman, R., Berretta, D., Erwin, R., Gur, R.E.: Gender differences in age effect on brain atrophy measured by magnetic resonance imaging, Proceedings of the National Academy of Sciences 88:2845-2849, 1991
Kohn, M.I., Tanna, N.K., Herman, G.T., Resnick, S.M., Mozley, P.D., Gur, R.E., Alavi, A., Zimmerman, R.A., Gur, R.C.: Analysis of brain and cerebrospinal fluid volumes with MR imaging. Part 1: Methods, reliability, and validation, Radiology 178:115-122, 1991
Gur, R.E., Mozley, P.D., Resnick, S.M., Shtasel, D., Kohn, M., Zimmerman, R., Herman, G., Atlas, S., Grossman, R., Erwin, R., Gur, R.C.: Magnetic resonance imaging in schizophrenia: I. Volumetric analysis of brain and cerebrospinal fluid, Archives of General Psychiatry 48:407-412, 1991
Herman, G.T., Zheng, J., Bucholtz, C.A.: Shape-based interpolation, IEEE Computer Graphics and Applications 12(3):69-79, 1992
Herman, G.T.: Discrete multidimensional Jordan surfaces, CVGIP: Graphical Models and Image Processing 54:507-515, 1992
Levkowitz, H., Herman, G.T.: Color scales for image data, IEEE Computer Graphics and Applications 12(1):72-80, 1992
Levkowitz, H., Herman, G.T.: GLHS: A generalized lightness, hue, and saturation color model, CVPIG: Graphical Models and Image Processing 55:271-285, 1993
Herman, G.T., Meyer, L.B.: Algebraic reconstruction techniques can be made computationally efficient, IEEE Transactions on Medical Imaging 12:600-609, 1993
Furuie, S.S., Herman, G.T., Narayan, T.K., Kinahan, P., Karp, J.S., Lewitt, R.M., Matej, S.: A methodology for testing statistically significant differences between fully 3-D PET reconstruction algorithms, Physics in Medicine and Biology 39:341-354, 1994
Matej, S., Herman, G.T., Narayan, T.K., Furuie, S.S., Lewitt, R.M., Kinahan, P.: Evaluation of task-oriented performance of several fully 3-D PET reconstruction algorithms, Physics in Medicine and Biology 39:355-367, 1994
Marabini, R., Herman, G.T., Carazo, J.-M.: 3D reconstruction in electron microscopy using ART with smooth spherically symmetric volume elements (blobs), Ultramicroscopy 72:53-65, 1998
Maki, D.D., Birnbaum, B.A., Chakraborty, D.P., Jacobs, J.E., Carvalho, B.M., Herman, G.T.: Renal cyst pseudo-enhancement: Beam hardening effects on CT numbers, Radiology 213:468-472, 1999
Carvalho, B.M, Gau, C.J., Herman, G.T., Kong, T.Y.: Algorithms for fuzzy segmentation, Pattern Analysis and Applications 2:73-81, 1999
Herman, G.T., Carvalho, B.M.: Multiseeded segmentation using fuzzy connectedness, IEEE Transactions on Pattern Analysis and Machine Intelligence 23:460-474, 2001
Scheres, S.H.W., Valle, M., Nuñez, R., Sorzano, C.O.S., Marabini, R., Herman, G.T., Carazo, J.-M.: Maximum-likelihood multi-reference refinement for electron microscopy images, Journal of Molecular Biology 348:139-149, 2005
Butnariu, D., Davidi, R., Herman, G.T., Kazantsev, I.G.: Stable convergence behavior under summable perturbations of a class of projection methods for convex feasibility and optimization problems, IEEE Journal of Selected Topics in Signal Processing 1:540-547, 2007
Scheres, S.H.W., Gao, H., Valle, M., Herman, G.T., Eggermont, P.P.B., Frank, J., Carazo, J.-M.: Disentangling conformational states of macromolecules in 3D-EM through likelihood optimization, Nature Methods 4:27-29, 2007
Censor, Y., Elfving, T., Herman, G.T., Nikazad, T.: On diagonally-relaxed orthogonal projection methods, SIAM Journal on Scientific Computing 30:473-504, 2008
Herman, G.T., Davidi, R.: Image reconstruction from a small number of projections, Inverse Problems 24:045011, 2008
Censor, Y., Davidi, R., Herman, G.T.: Perturbation resilience and superiorization of iterative algorithms, Inverse Problems 26:065008, 2010
Censor, Y., Chen, W., Combettes, P.L., Davidi, R., Herman, G.T.: On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints, Computational Optimization and Applications 51:1065-1088, 2012
Articles that have been cited in the literature 20 or more times but less than 100 times (as of November 12, 2020):
Herman, G.T.: Computing ability of a developmental model for filamentous organisms, Journal of Theoretical Biology 25:421-435, 1969
Herman, G.T.: The uniform halting problem for generalized one-state Turing machines, Information and Control 15:353-367, 1969
Baker, R.W., Herman, G.T.: CELIA – a cellular linear iterative array simulator, Proceedings of the Fourth Annual Conference on Applications of Simulation, Winter Simulation Conference, 64-73, 1970
Herman, G.T.: Role of environment in developmental models, Journal of Theoretical Biology 29:329-341, 1970
Herman, G.T., Isard, S.W.: Computability over arbitrary fields, Journal of the London Mathematical Society (2) 2:73-79, 1970
Herman, G.T.: Strong computability and variants of the uniform halting problem, Mathematical Logic Quarterly 17:115-131, 1971
Frieder, G., Herman, G.T.: Resolution in reconstructing objects from electron micrographs, Journal of Theoretical Biology 33:189-211, 1971
Herman, G.T., Rowland S.: Resolution in ART: An experimental investigation of the resolving power of an algebraic picture reconstruction technique, Journal of Theoretical Biology 33:213-223, 1971
Herman, G.T.: Models for cellular interactions in development without polarity of individual cells I. General description and the problem of universal computing ability, International Journal of Systems Science 2:271-289, 1971
Herman, G.T., Walker, A.: The syntactic inference problem as applied to biological systems, Machine Intelligence 7, Meltzer, B., Michie, D. (eds.), Edinburgh University Press, 341-356, 1972
Gaarder, N.T. Herman, G.T.: Algorithms for reproducing objects from their X-rays, Computer Graphics and Image Processing 1:97-106, 1972
Herman, G.T.: Two direct methods for reconstructing pictures from their projections: A comparative study, Computer Graphics and Image Processing 1:123-144, 1972
Baker, R.W., Herman, G.T.: Simulation of organisms using a developmental model Part 1: Basic description, International Journal of Biomedical Computing 3:201-215, 1972
Baker, R.W., Herman, G.T.: Simulation of organisms using a developmental model Part 2: The heterocyst formation problem in blue-green algae, International Journal of Biomedical Computing 3:251-267, 1972
Herman, G.T.: Models for cellular interactions in development without polarity of individual cells II. Problems of synchronization and regulation, International Journal of Systems Science 3:149-175, 1972
Herman, G.T., Rowland, S.: Three methods for reconstructing objects from x-rays: A comparative study, Computer Graphics and Image Processing 2:151-178, 1973
Herman, G.T.: A biologically motivated extension of ALGOL-like languages, Information and Control 22:487-502, 1973
Herman, G.T.: On universal computer-constructors, Information Processing Letters 2:61-64, 1973
Herman, G.T., Lee, K.P., van Leeuwen, J., Rozenberg, G.: Characterization of unary developmental languages, Discrete Mathematics 6:235-247, 1973
Herman, G.T., Liu, W.H.: The daughter of Celia, the French flag, and the firing squad: (Progress report on a cellular linear iterative-array simulator), Simulation 21:33-41, 1973
Feliciangeli, H., Herman, G.T.: Algorithms for producing grammars from sample derivations: a common problem of formal language theory and developmental biology, Journal of Computer and System Sciences 7:97-118. 1973
Robb, R.A., Greenleaf, J.F., Ritman, E.L., Johnson, S.A., Sjostrand, J.D., Herman, G.T., Wood, E.H.: Three-dimensional visualization of the intact thorax and contents: A technique for cross-sectional reconstruction from multiplanar x-ray views, Computers and Biomedical Research 7:395-419, 1974
Johnson, S.A., Robb, R.A., Greenleaf, J.F., Ritman, E.L., Lee, S.L., Herman, G.T., Sturm, R.E., Wood, E.H.: The problem of accurate measurement of left ventricular shape and dimensions from multiplane roentgenographic data, European Journal of Cardiology 1:241-258, 1974
Johnson, S.A., Robb, R.A., Greenleaf, J.F., Ritman, E.L., Gilbert, B.K., Storma, M.T., Sjostrand, J.D., Donald, D.E., Herman, G.T., Sturm, R.E., Wood, E.H.: Dynamic three dimensional reconstruction of beating heart and lungs from multiplanar roentgen television images, Mayo Clinic Proceedings 49:958-963, 1974
Herman, G.T.: Closure properties of some families of languages associated with biological systems, Information and Control 24:101-121, 1974
Herman, G.T., Liu, W.H., Rowland, S., Walker, A.: Synchronization of growing cellular arrays, Information and Control 25:103-122, 1974
Herman, G.T., Lindenmayer, A., Rozenberg, G.: Description of developmental languages using recurrence systems, Mathematical Systems Theory 8:316-341, 1974
Herman, G.T.: Reconstruction of binary patterns from a few projections, International Computing Symposium 1973, Günther, A., Levrat, B., Lipps, H. (eds.), Noth-Holland Publ. Co., 371-378, 1974
Herman, G.T., Walker, A.: Context-free languages in biological systems, International Journal of Computer Mathematics 4:369-391, 1975
Herman, G.T., Lakshminarayanan, A.V., Rowland, S.W.: The reconstruction of objects from shadowgraphs with high contrasts, Pattern Recognition 7:157-165, 1975
Herman, G.T., Lent, A.: A computer implementation of a Bayesian analysis of image reconstruction, Information and Control 31:364-384, 1976
Herman, G.T., Vitanyi, P.: Growth functions associated with biological develpment, American Mathematical Monthly 83:1-15, 1976
Herman, G.T., Lent, A.: Quadratic optimization for image reconstruction, I, Computer Graphics and Image Processing 5:319-332, 1976
Herman, G.T., Lakshminarayanan, A.V., Naparstek, A., Ritman, E.L., Robb, R.A., Wood, E.H.: Rapid computerized tomography, Medical Data Processing, Laudet, M., Anderson, J., Begon, F. (eds.), Taylor and Francis Ltd., 581-598, 1976
Edelheit, L.S., Herman, G.T., Lakshminarayanan, A.V.: Reconstruction of objects from diverging x rays, Medical Physics 4:226-231, 1977
Herman, G.T., Lent, A.: A family of iterative quadratic optimization algorithms for pairs of inequalities, with applications in diagnostic radiology, Mathematical Programming Study 9:15-29, 1978
Altschuler, M.D., Herman, G.T., Lent, A.: Fully three-dimensional image reconstruction from cone-beam sources, Proccedings of the IEEE Computer Society Conference on Pattern Recognition and Image Processing 194-199, 1978
Herman, G.T.: Data collection for cross-sectional image reconstruction by moving a ring of annihilation detectors, Journal of Computer Assisted Tomography 3:261-266, 1979
Herman, G.T., Hurwitz, H., Lent, A., Lung, H.P.: On the Bayesian approach to image reconstruction, Information and Control 42:60-71, 1979
Artzy, E., Elfving, T., Herman, G.T.: Quadratic optimization for image reconstruction, II, Computer Graphics and Image Processing 11:242-261, 1979
Herman, G.T., Rowland, S., Yau, M., A comparative study of the use of linear and modified cubic spline interpolation for image reconstruction, IEEE Transactions on Nuclear Science 26:2879-2894, 1979
Herman, G.T.: Demonstration of beam hardening correction in computed-tomography of the head, Journal of Computer Assisted Tomography 3:373-378, 1979
Herman, G.T., Lewitt, R.M.: Overview of image reconstruction from projections, Image Reconstruction from Projections: Implementation and Applications, Herman, G.T. (ed.), Springer, 1-8, 1979
Herman, G.T., Coin, C.G.: The use of three-dimensional computer display in the study of disk disease, Journal of Computer Assisted Tomography 4:564-567, 1980
Herman, G.T.: On the noise in images produced by computed tomography, Computer Graphics and Image Processing 12:271-285, 1980
Herman, G.T., Lent, A., Hurwitz, H.: A storage-efficient algorithm for finding the regularized solution of a large, inconsistent system of equations, IMA Journal of Applied Mathematics 25:361-366, 1980
Altschuler, M.D., Censor, Y., Eggermont, P.P.B., Herman, G.T., Kuo, Y.H., Lewitt, R.M., McKay, M., Tuy, H.K., Udupa, J.K., Yau, M.M.: Demonstration of a software package for the reconstruction of the dynamically changing structure of the human heart from cone-beam x-ray projections, Journal of Medical Systems 4:289-304, 1980
Chang, T., Herman, G.T.: A scientific study of filter selectionfor a fan-beam convolution reconstruction algorithm, SIAM Journal on Applied Mathematics 39:83-105, 1980
Artzy, E., Herman, G.T.: Boundary detection in 3-dimensions with a medical application, ACM SIGRAPH Computer Graphics 15(1):92-123, 1981
Herman, G.T., Lewitt, R.M.: Evaluation of a preprocessing algorithm for truncated CT projections, Journal of Computer Assisted Tomography 5:127-135, 1981
Herman, G.T.: Three-dimensional imaging from tomograms, Digital Image Processing in Medicine, Höhne, K.H. (ed.), Springer, 93-118, 1981
Herman, G.T.: On the noise in images produced by computed tomography, Image Modeing, Rosenfeld, A. (ed.), Elsevier, 199-213, 1981
Altschuler, M.D., Censor, Y., Herman, G.T., Lent, A., Lewitt, R.M., Srihri, S.N., Tuy, H., Udupa, J.K.: Mathematical aspects of image reconstruction from projection, Progress in Pattern Recognition 1, Kanal, H., Rosenfeld, A. (eds.), North-Holland, 323-375, 1981
Herman, G.T., Webster, D.: Surfaces of organs in discrete three-dimensional space, Mathematical Aspects of Computerized Tomography, Herman, G.T., Natterer, F. (eds.), Springer-Verlag, Berlin, Germany, 204-224, 1981
Herman, G.T., Reynolds, R.A., Udupa, J.K.: Computer techniques for the representation of three-dimensional data on a two-dimensional display, Proceedings of the Society of Photo-Optical Instrumentation Engineers 367:3-14, 1982
Kouris, K., Tuy, H., Lent, A., Herman, G.T., Lewitt, R.M.: Reconstruction from sparsely sampled data by ART with interpolated rays, IEEE Transactions on Medical Imaging 1:161-167, 1982
Herman, G.T., Udupa, J.K., Kramer, D.M., Lauterbur, P.C., Rudin, A.M., Schneider, J.M.: The three-dimensional display of nuclear magnetic resonance images, Optical Engineering 21:923-926, 1982
Herman, G.T.: Mathematical optimization versus practical performance: A case study baxed on the maximum entropy criterion in image reconstruction from projections, Mathematical Programming Study 20:96-112, 1982
Axel, L., Herman, G.T., Udupa, J.K., Bottomley, P.A., Edelstein, W.A.: Three-dimensional display of nuclear magnetic resonance (NMR) cardiovascular images, Journal of Computer Assisted Tomography 7:172-174, 1983
Herman, G.T., Trivedi, S.S.: A comparative study of two postreconstruction beam hardening correction methods, IEEE Transactions on Medical Imaging 2:128-135, 1983
Chen, L.S., Herman, G.T., Meyer, C.R., Reynolds, R.A., Udupa, J.K.: 3D83: An easy-to-use software package for three-dimensional display from computed tomograms, Proceedings of the IEEE Computer Society Joint International Sympostum on Medical Images and 1cons, IEEE Computer Society Press, 309-316, 1984
Herman, G.T., Levkowitz H., Tuy H.K., McCormick S.: Multilevel image reconstruction, Multiresolution Image Processing and Analysis, Rosenfeld A. (ed.), Springer, 111-151, 1984
Frieder, G., Herman, G.T., Meyer, C., Udupa, J.: Large software problems for small computers: An example from medical imaging, IEEE Software 2(5):37-47, 1985
Herman, G.T., Vose, W.F., Gomori, J.M, Gefter, W.B: Stereoscopic computed three-dimensional surface displays, RadioGraphics 5:825-852, 1985
Herman, G.T., Censor, Y., Gordon, D., Lewitt, R.M.: Comment, Journal of the American Statistical Association, 80:22-25, 1985
Censor, Y., Elfving, T., Herman, G.T.: A method of iterative data refinement and its applications, Mathematical Methods in the Applied Sciences 7:108-123, 1985
Herman, G.T.: Application of maximum entropy and Bayesian optimization methods to image reconstruction from projections, Maximum-Entropy and Bayesian Methods in Inverse Problems, Smith, C.R., Grandy Jr., W. (eds.), Springer, 318-338, 1985
Burk, Jr. D.L., Mears, D.C., Cooperstein, L.A., Herman, G.T., Udupa, J.K.: Acetabular fractures: Three-dimensional computed tomographic imaging and interactive surgical planning, Journal of Computed Tomography 10:1-10, 1986
DeMarino, D.P., Steiner, E., Poster, R. Katzberg, R.W., Hengerer, A.S., Herman, G.T., Wayne, W.S., Prosser, D.C.: Three-dimensional computed tomography in maxillofacial trauma, Archives of Otolaryngology – Head and Neck Surgery 112:146-150, 1986
Trivedi, S.S., Herman, G.T., Udupa, J.K.: Segmentation into three classes using gradients, IEEE Transactions on Medical Imaging 5:116-119, 1986
Udupa, J.K.,Herman, G.T., Chen, L.S., Margasahayam, P.S., Meyer, C.R.: 3D98: A turnkey system for the 3D display and analysis of medical objects in CT data, Proceedings of the Society of Photo-Optical Instrumentation Engineers 671:154-168, 1986
Ro, D.W., Axel, L.,Herman, G.T., LeVeen,R.F.: Computed masks in coronary subtraction imaging, IEEE Transactions on Medical Imaging 6:297-300, 1987
Herman, G.T.: Three-dimensional imaging on a CT or MR scanner, Journal of Computer Assisted Tomography 12:450-458, 1988
Edholm, P.R., Herman, G.T., Roberts, D.A.: Image reconstruction from linograms – Implementation and evaluation, IEEE Transactions on Medical Imaging 7:239-246, 1988
Herman, G.T., Trivedi, S.S., Udupa, J.K.: Manipulation of 3D imagery, Progress in Medical Imaging, Newhouse, V.L. (ed.), Springer, 123-157, 1988
Herman, G.T., Yeung, K.T.D.: Evaluators of image reconstruction algorithms, International Journal of Imaging Systems and Technology 1:187-195, 1989
Toennies, K.D., Udupa, J.K., Herman, G.T., Wornom, I.L., Buchman, S.R.: Registration of three dimensional objects and surfaces, IEEE Computer Graphics and Applications 10(3):52-62, 1990
Herman, G.T.: On topology as applied to image analysis, Computer Vision, Graphics, and Image Processing 52: 409-415, 1990
Censor, Y., De Pierro, A.N., Elfving, T., Herman, G.T., Iusem, A.N.: On iterative methods for linearly constrained entropy maximization, Numerical Analysis and Mathematical Modelling, Waculicz, A. (ed.), Banach Center, Warsaw, 145–163, 1990
Herman, G.T., Odhner, D., Toennies, K.D., Zenios, S.A.: A parallelized algorithm for image reconstruction from noisy projections, Large Scale Numerical Optimization, Coleman, T.F., Li Y.F. (eds.), Society of Industrial and Applied Mathematics, Philadelphia, 3-21, 1990
Herman, G.T.: A survey of 3D medical imaging technologies, IEEE Engineering in Medicine and Biology Magazine 9(4):15-17, 1990
Axel, L., Herman, G.T., Roberts, D.A., Dougherty, L.: Linogram reconstruction from magnetic resonace imaging (MRI), IEEE Transactions on Medical Imaging 9:447-449, 1990
Herman, G.T., De Pierro, A.R., Gai, N.: On methods for maximum a posteriori image reconstruction with a normal prior, Journal of Visual Communication and Image Representation 3:316-324, 1992
Herman, G.T., Yeung, K.T.D.: On piecewise-linear classification, IEEE Transactions on Pattern Analysis and Machine Intelligence 14:782-786, 1992
Lotufo, R.A., Herman, G.T., Udupa, J.K.: Combining shape-based and gray-level interpolations, Proceedings of the Society of Photo-Optical Instrumentation Engineers 1808:289-298, 1992
Herman, G.T.: Oriented surfaces in digital spaces, CVGIP: Graphical Models and Image Processing 55:381-396, 1993
Herman, G.T.: 3D display: A survey from theory to applications, Computerized Medical Imaging and Graphics 17:231-242, 1993
Mozley, P.D., Gur, R.E., Resnick, S.M., Stasel, D.L., Richards, J., Kohn, M., Grossman, R., Herman, G., Gur, R.C.: Magnetic resonance imaging in schizophrenia – Relationship with clinical measures, Schizophrenia Research 12:195-203, 1994
Chen, M., Levitan, E., Herman, G.T.: Image-modelling Gibbs distributions for Bayesian restoration, Proccedings of the IEEE Soouthwest Symposium on Image Analysis and Interpretation 7-12, 1994
Kinahan, P.E., Matej, S., Karp, J.S., Herman, G.T., Lewitt, R.M.: A comparison of transform and iterative reconstruction techniques for a volume-imaging PET scanner with a large axial acceptance angle, IEEE Transactions on Nuclear Science 42:2281-2287, 1995
Levitan, E., Chan, M., Herman, G.T.: Image-modeling Gibbs priors, Graphical Models and Image Processing, 57:117-130, 1995
Herman, G.T.: Image reconstruction from projections, Real-Time Imaging, 1:3-18, 1995
Aharoni, R., Herman, G.T., Loebl, M.: Jordan graphs, Graphical Models and Image Processing, 58:345-359, 1996
Herman, G.T., Zhao, E.: Jordan surfaces in simply connected digital spaces, Journal of Mathematical Imaging and Vision, 6:121-138, 1996
Matej, S., Furuie, S.S., Herman, G.T.: Relevance of statistically significant differences between reconstruction algorithms, IEEE Transactions on Image Processing 5:554-556, 1996
Browne, J.A., Herman, G.T.: Computerized evaluation of image reconstruction algorithms, International Journal of Imaging Systems and Technology, 7:256-267, 1996
Marabini, R., Rietzel, E., Schroeder, R., Herman, G.T., Carazo, J.M.: Three-dimensional reconstruction from reduced sets of very noisy images acquired following a single-axis tilt schema: Application of a new three-dimensional reconstruction algorithm and objective comparison with weighted backprojection, Journal of Structural Biology 120:363-371, 1997
Garcia, I., Ortigosa, P.M., Casado, L.G., Herman, G.T., Matej, S.: Multidimensional optimization in image reconstruction from projections, Developments in Global Optimization, Bomze, I., Pardalos, P.M., Csendes, T., Horst, R. (eds.), Springer, 289-299, 1997
Aharoni, R., Herman, G.T., Kuba, A.: Binary vectors partially determined by linear equation systems. Discrete Mathematics 171:1-16, 1997
Chan, M.T., Herman, G.T., Levitan, E.: A Bayesian approach to PET reconstruction using image-modeling Gibbs priors: Implementation and comparison, IEEE Transactions on Nuclear Science 44:1347-1354, 1997
Chan, M.T., Herman, G.T., Levitan, E.: Bayesian image reconstruction using image-modeling Gibbs priors, International Journal of Imaging Systems and Technology 9:85-98, 1998
Kong. T.Y., Herman, G.T.: On which grids can tomographic equivalence of binary pictures be characterized in terms of elementary switching operations?, International Journal of Imaging Systems and Technology 9:118-225, 1998
Herman, G.T.: Algebraic reconstruction techniques in medical imaging, Medical Imaging Systems Techniques and Applications, Computational Techniques, Leondes, C.T. (ed.), CRC Press, 1-42, 1998
Matej, S., Herman, G.T., Vardi, A.: Binary tomography on the hexagonal grid using Gibbs priors, International Journal of Imaging Systems and Technology 9:126-131, 1998
Narayan, T.K., Herman, G.T.: Prediction of human obsrver performance by numerical observers, Journal of the Optical Society of America A 18:679-693, 1999
Kuba, A., Herman, G.T.: Discrete tomography: A historical overview, Discrete Tomography: Foundations, Algorithms, and Applications, Herman, G.T., Kuba, A. (eds.), Birkhäuser Basel, 3-34, 1999
Kong, T.Y., Herman, G.T.: Tomographic equivalence and switching operations, Discrete Tomography: Foundations, Algorithms, and Applications, Herman, G.T., Kuba, A. (eds.), Birkhäuser Basel, 59-84, 1999
Matej, S., Vardi, A., Herman, G.T., Vardi, E.: Binary tomography using Gibbs priors, Discrete Tomography: Foundations, Algorithms, and Applications, Herman, G.T., Kuba, A. (eds.), Birkhäuser Basel, 191-212, 1999
Chan, M.T., Herman, G.T., Levitan. E,: Probabilistic modeling of discrete images, Discrete Tomography: Foundations, Algorithms, and Applications, Herman, G.T., Kuba, A. (eds.), Birkhäuser Basel, 213-235, 1999
Carvalho, B., Herman, G., Matej, S., Salzberg, C., Vardi, E.: Binary tomography for triplance cardiography, Information Processing in Medical Imaging, Kuba, A., Samal, M., Todd-Pokropek, A. (eds.), Springer, 29-41, 1999
Kuba, A., Herman, G.T., Matej, S., Todd-Pokropek, A.: Medical applications of discrete tomography, Discrete Mathematical Problems with Medical Applications, Du, D.-Z., Pardalos, P.M., Wang, J. (eds.), AMS, 195-208, 2000
Obi, T., Matej, S., Lewitt, R.M., Herman, G.T.: 2.5-D simultaneous multislice reconstruction by series expansion methods from Fourier-rebinned PET data, IEEE Transactions on Medical Imaging 19:474-484, 2000
Sorzano, C.O.S., Marabini, R., Boisset, N., Rietzel, E., Schroeder, R., Herman, G.T., Carazo, J.M.: The effect of overabundant projection directions on 3D reconstruction algorithms, Journal of Structural Biology 133:108-118, 2001
Vardi, E., Herman, G.T., Kong, T.Y.: Speeding up stochastic reconstructions of binary images from limited projection directions, Linear Algebra and Its Applications 339:75-89, 2001
Censor, Y., Elfving, T., Herman, G.T.: Averaging strings of sequential iterations for convex feasibility problems, Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications, Butnariu, D., Censor, Y., Reich, S. (Eds.), Elsevier Science Publishers, 101-113, 2001
Censor, Y., Herman, G.T.: Block-iterative algorithms with underrelaxed Bregman projections, SIAM Journal on Optimization 13:283-297, 2002
Zubelli, J.P., Marabini, R., Sorzano, C.O.S., Herman, G.T.: Three-dimensional reconstruction by Chahine’s method from electron microscopic projections corrupted by instrumental aberration, Inverse Problems 19:933-949, 2003
Herman, G.T., Kuba, A.: Discrete tomography in medical imaging, Proceedings of the IEEE 91:1612-1626, 2003
Garduño, E., Herman, G.T.: Optimization of basis functions for both reconstruction and visualization, Discrete Applied Mathematics 139:95-111, 2004
Marabini, R., Sorzano, C.O.S., Matej, S., Fernández, J.J., Carazo, J.M., Herman, G.T.: 3D reconstruction of 2D crystals in real space, IEEE Transactions on Image Processing 13:549-561, 2004
Liao, H.Y., Herman, G.T.: Automated estimation of Gibbs priors to be used in binary tomography, Discrete Applied Mathematics 139:149-170, 2004
Sorzano, C.O.S., Marabini, R., Herman, G.T., Censor, Y., Carazo, J.M.: Transfer function restoration in 3D electron microscopy via iterative data refinement, Physics in Medicine and Biology 49:509-522, 2004
Liao, H.Y., Herman, G.T.: A coordinate ascent approach to tomographic reconstruction of label images from a few projections, Discrete Applied Mathematics 151:184-197, 2005
Carvalho, B.M., Herman, G.T., Kong, T.Y.: Simultaneous fuzzy segmentation of multiple objects, Discrete Applied Mathematics 151:55-77, 2005
Alpers, A., Poulsen, H.F., Knudsen, E., Herman, G.T.: A discrete tomography algorithm for improving the quality of three-dimensional X-ray diffraction grain maps, Journal of Applied Crystallography 39:582-588, 2006
Carazo, J.-M., Herman, G.T. Sorzano, COS, Marabini, R.: Algorithms for three-dimensional reconstruction from the imperfect projection data provided by electron microscopy, Electron Tomography: Methods for Three-Dimensional Visualization of Structures in the Cell, 2nd Edition, Frank, J. (ed.), Springer, 217-244, 2006
Kuba, A. Herman, G.T.: Introduction, Advances in Discrete Tomography and Its Applications, Herman, G.T., Kuba, A. (eds.), Birkhäuser Basel, 1-16, 2007
Rodek, L., Poulsen, H.F., Knudsen, E., Herman, G.T.: A stochastic algorithm for reconstruction of grain maps of moderately deformed specimens based on X-ray diffraction, Journal of Applied Crystallography 40:313-321, 2007
Carvalho, B.M., Herman, G.T.: Low-dose, large-angled cone-beam helical CT data reconstruction using algebraic reconstruction techniques, Image and Vision Computing 25:78-94, 2007
Herman, G.T., Chen, W.: A fast algorithm for solving a linear feasibility problem with application to intensity-modulated radiation therapy, Linear Algebra and Its Applications 428:1207-1217, 2008
Herman, G.T., Kalinowski, M.: Classification of heterogeneous electron microscopic projections into homogeneous subsets, Ultramicroscopy 108:327-338, 2008
Davidi, R., Herman, G.T., Censor, Y.: Perturbation-resilient block-iterative projection methods with applications to image reconstruction from projections, International Transactions in Operational Research 16:505-524, 2009
Censor, Y., Herman, G.T., Jiang, M.: A note on the behavior of the randomized Kaczmarz algorithm of Strohmer and Vershynin, Journal of Fourier Analysis and Applications 15:431-436, 2009
Chen, W., Craft, D., Madden, T.M., Zhang, K., Kooy, H.M., Herman, G.T.: A fast optimization algorithm for multi-criteria intensity modulated proton therapy planning, Medical Physics 37:4938-4945, 2010
Kazantsev, I.G., Klukowska, J., Herman, G.T, Cernetic, L.: Fully three-dimensional defocus-gradient corrected backprojection in cryoelectron microscopy, Ultramicroscopy 110:1128-1142, 2010
Garduño, E., Davidi, R., Herman, G.T.: Reconstruction from a few projections by ℓ1-minimization of the Haar transform, Inverse Problems 27:055006, 2011
Nikazad, T., Davidi, R., Herman, G.T.: Accelerated perturbation-resilient block-iterative projection methods with application to image reconstruction, Inverse Problems 28:035005, 2012
Herman, G.T., Garduño, E., Davidi, R., Censor, Y.: Superiorization: An optimization heuristic for medical physics, Medical Physics 39:5532-5546, 2012
Klukowska, J., Davidi, R., Herman, G.T.: SNARK09 – A software package for the reconstruction of 2D images from 1D projections, Computer Methods and Programs in Biomedicine 110:424-440, 2013
Censor, Y., Davidi, R., Herman, G.T., Schulte, R.W., Tetruashvili, L.: Projected subgradient minimization versus superiorization, Journal of Optimization Theory and Applications 160:730-747, 2014
Garduño, E., Herman, G.T.: Superiorization of the ML-EM algorithm, IEEE Transactions on Nuclear Science 61:162-172, 2014
Schrapp, M.J., Herman, G.T.: Data fusion in X-ray computed tomography using a superiorization approach, Review of Scientific Instruments 85:053701, 2014
Davidi, R., Garduño, E., Herman, G.T., Langthaler, O., Sardana, S., Ye, Z.: SNARK14: A programming system for the reconstruction of 2D images from 1D projections, https://turing.iimas.unam.mx/SNARK14M/SNARK14.pdf, 2017
Other archival publications (since 2005):
Liao, H.Y., Herman, G.T.: Discrete tomography with a very few views, using Gibbs priors and a Marginal Posterior Mode approach, Electronic Notes in Discrete Mathematics 20:399-418, 2005
Alpers, A., Knudsen, E., Poulsen, H.F., Herman, G.T.: Resolving ambiguities in reconstructed grain maps using discrete tomography, Electronic Notes in Discrete Mathematics 20:419-437, 2005
Rodek, L., Knudsen, E., Poulsen, H.F., Herman, G.T.: Discrete tomographic reconstruction of 2D polycrystal orientation maps from X-ray diffraction projections using Gibbs priors, Electronic Notes in Discrete Mathematics 20:439-453, 2005
Sorzano, C.O.S., Marabini, R., Herman, G.T., Carazo, J.-M.: Multiobjective algorithm parameter optimization using multivariate statistics in three-dimensional electron microscopy reconstruction, Pattern Recognition 38:2587-2601, 2005
Garduño, E., Herman, G.T.: Implicit surface visualization of reconstructed biological molecules, Theoretical Computer Science 346:281-299, 2005
Liao, H.Y., Herman, G.T.: A method for reconstructing label images from a few projections, as motivated by electron microscopy, Annals of Operations Research 148:117-132, 2006
Fu, X., Knudsen, E., Poulsen, H.F., Herman, G.T., Carvalho, B.M., Liao, H.Y.: Optimized algebraic reconstruction technique for generation of grain maps based on three-dimensional X-ray diffraction (3DXRD), Optical Engineering 45:116501, 2006
Herman, G.T.: Boundaries in digital spaces, Applied General Topology 8:93-149, 2007
Sorzano, C.O.S., Velázquez-Muriel, J.A., Marabini, R., Herman, G.T., Carazo, J.M.: Volumetric restrictions in single particle 3DEM reconstruction, Pattern Recognition 41:616-626, 2008
Garduño, E., Herman, G.T.: Parallel fuzzy segmentation of multiple objects, International Journal of Imaging Systems and Technology 18:336-344, 2008
Herman, G.T.: A note on exact image reconstruction from a limited number of projections, Journal of Visual Communication and Image Representation 20:65-67, 2009
Kulshreshth, A.K., Alpers, A., Herman, G.T., Knudsen, E., Rodek, L., Poulsen, H.F.: A greedy method for reconstructing polycrystals from three-dimensional x-ray diffraction data, Inverse Problems and Imaging 3:69-85, 2009
Chen, W., Herman, G.T.: Efficient controls for finitely convergent sequential algorithms, ACM Transactions on Mathematical Software 37:14, 2010
Alpers, A., Herman, G.T., Poulsen, H.F., Schmidt, S.: Phase retrieval for superposed signals from multiple binary objects, Journal of the Optical Society of America A 27:1927-1937, 2010
Herman, G.T., Kong, T.Y., Oliviera, L.: Tree representation of digital picture embeddings, Journal of Visual Communication and Image Representation 23:883-891, 2012
Katz, G., Benkarroum, Y., Wei, H., Rice, W.J., Bucher, D., Alimova, A., Katz, A., Klukowska, J., Herman, G.T., Gottlieb, P.: Morphology of influenza B/Lee/40 determined by cryo-electron microscopy, PLoS ONE 9(2):e88288, 2014
Klukowska, J., Herman, G.T., Oton, J., Marabini, R., Carazo, J.-M,: The soft x-ray transform, Inverse Problems 30:125015, 2014
Herman, G.T.: Basis functions in image reconstruction from projections – A tutorial introduction, Sensing and Imaging 16:6, 2015
Benkarroum, Y., Herman, G.T., Rowland, S.W.: Blob parameter selection for image representation, Journal of the Optical Society of America A 32:1898-1915, 2015
Ciesielski, K.C., Herman, G.T., Kong, T.Y.: General theory of fuzzy connectedness segmentations, Journal of Mathematical Imaging and Vision, 55:304-342, 2016
Censor, Y., Herman, G.T., Jiang, M.: Superiorization: theory and applications, Inverse Problems 33:040301, 2017
Garduño, E., Herman, G.T.: Computerized tomography with total variation and with shearlets, Inverse Problems 33:044011, 2017
Otón, J., Pereiro, E., Conesa, J.J., Chichón, F.J., Luque, D., Rodríguez, J.M., Pérez-Berná, A.J., Sorzano, C.O.S., Klukowska, J., Herman, G.T., Vargas, J., Marabini, R., Carrascosa, J.L., Carazo, J.M.: XTEND: Extending the depth of field in cryo soft X-ray tomography, Scientific Reports, 7:45808, 2017
Zibetti, M.V.W., Lin, C., Herman, G.T.: Total variation superiorized conjugate gradient method for image reconstruction, Inverse Problems 34:034001, 2018 [For an Erratum see Inverse Problems 36:089601, 2020]
Oliviera, L.M., Ye, Z., Katz, A., Alimova, A., Wei, H., Herman, G.T., Gottlieb, P.: Component tree analysis of cystovirus φ6 nucleocapsid Cryo-EM single particle reconstructions, PLoS ONE 13(1):e0188858, 2018
Helou, E.S., Herman, G.T., Lin, C., Zibetti, M.V.W.: Superiorization of preconditioned conjugate gradient algorithms for tomographic image reconstruction, Applied Analysis and Optimization, 2:271-284, 2018
Kong, Y., Pajoohesh, H., Herman, G.T.: String-averaging algorithms for convex feasibility with infinitely many sets, Inverse Problems 35:034001, 2019
Zibetti, M.V.W., Helou, E.S., Regatte, R.R., Herman, G.T.: Monotone FISTA with variable acceleration for compressed sensing magnetic resonance imaging, IEEE Transactions on Computational Imaging 5:109-119, 2019
Helou, E.S., Zibetti, M.V.W., Axel, L., Block, K.T., Regatte, R.R., Herman, G.T.: The discrete Fourier transform for golden angle linogram sampling, Inverse Problems 35:125004, 2019
Herman, G.T.: Problem structures in the theory and practice of superiorization, Journal of Applied and Numerical Optimization 2:71-76, 2020
Helou, E.S., Zibetti, M.V.W., Herman, G.T.: Fast proximal gradient methods for nonsmooth convex optimization for tomographic image reconstruction, Sensing and Imaging 21:45, 2020
Lin, C., Herman, G.T., Zibetti, M.V.W.: Enhancement of the Kaczmarz algorithm with projection adjustment, Numerical Algorithms 85:712-736, 2020